Toward emulating nuclear reactions using eigenvector continuation

Abstract

We construct an efficient emulator for two-body scattering observables using the general (complex) Kohn variational principle and trial wave functions derived from eigenvector continuation. The emulator simultaneously evaluates an array of Kohn variational principles associated with different boundary conditions, which allows for the detection and removal of spurious singularities known as Kohn anomalies. When applied to the $K$-matrix only, our emulator resembles the one constructed by Furnstahl et al. [Phys. Lett. B 809, 135719] although with reduced numerical noise. After a few applications to real potentials, we emulate differential cross sections for ${}^{40}$Ca$(n,n)$ scattering based on a realistic optical potential and quantify the model uncertainties using Bayesian methods. These calculations serve as a proof of principle for future studies aimed at improving optical models.

arXiv comment12 pages, 4 figures, 1 table; minor improvements, close to published version

References in corpus (32)

• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Bayesian approach to model-based extrapolation of nuclear observables
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Eigenvector continuation with subspace learning
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Get on the BAND Wagon: A Bayesian Framework for Quantifying Model Uncertainties in Nuclear Dynamics
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Direct comparison between Bayesian and frequentist uncertainty quantification for nuclear reactions
• Continuum-Discretized Coupled-Channels calculations with core excitation
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Nuclear Theory and Science of the Facility for Rare Isotope Beams
• Efficient emulators for scattering using eigenvector continuation
• The complex Kohn variational method applied to N-d scattering
• Towards a Deeper Understanding of How Experiments Constrain the Underlying Physics of Heavy-Ion Collisions
• Comparing non-perturbative models of the breakup of neutron-halo nuclei
• Fast & accurate emulation of two-body scattering observables without wave functions
• Convergence of Eigenvector Continuation
• Constraining Transfer Cross Sections Using Bayes' Theorem
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Structure and three-body decay of ${}^9$Be resonances
• Quantifying Uncertainties on Fission Fragment Mass Yields With Mixture Density Networks
• Core Transitions in the Breakup of Exotic Nuclei
• Identifying structures in the continuum: Application to ${}^{16}$Be
• The Kohn Variational Principle for Elastic Proton--Deuteron Scattering above Deuteron Breakup Threshold
• Exploring experimental conditions to reduce uncertainties in the optical potential
• Designing Optimal Experiments: An Application to Proton Compton Scattering
• Anomaly-free singularities in the generalized Kohn variational method
• Variational Estimates using a Discrete Variable Representation
• Deuteron-alpha scattering: separable vs nonseparable Faddeev approach
• Equivalence of the generalized and complex Kohn variational methods

Cited by in corpus (15)

• Machine Learning in Nuclear Physics
• Model reduction methods for nuclear emulators
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Training and Projecting: A Reduced Basis Method Emulator for Many-Body Physics
• Fast emulation of quantum three-body scattering
• Statistical tools for a better optical model
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Volume extrapolation via eigenvector continuation
• Wave-function-based emulation for nucleon-nucleon scattering in momentum space
• Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Reduced basis emulation of pairing in finite systems
• Perspectives on few-body cluster structures in exotic nuclei
• Fundamental limitations of the eigenvalue continuation approach
• Uncertainty Quantification in Breakup Reactions